Proves the integer 24 appears independently across eleven mathematical frameworks: symmetric groups, Leech lattice, Monster group, K3 surfaces, Ramanujan discriminant, modular forms, and more. Derives the algebraic identity (Omega-2)/(4sqrt(Omega)) = sqrt((5Omega+1)/(4*Omega)) with unique solution Omega = 24. Produces three formulas predicting the fine structure constant alpha ~ 1/137.03 with zero free parameters.